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Finding the Third Proportional to 1,200,771 and 1,825,929

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Solution

The third proportional to 1,200,771 and 1,825,929 is: 2,776,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,771 : 1,825,929 = 1,825,929 : x
  2. Step 2: Convert to fraction form
    1,200,771/1,825,929 = 1,825,929/x
  3. Step 3: Cross multiply
    1,200,771x = 1,825,929 × 1,825,929
  4. Step 4: Simplify right side
    1,200,771x = 3,334,016,713,041
  5. Step 5: Solve for x
    x = 3,334,016,713,041/1,200,771
  6. Step 6: Final answer
    x = 2,776,563.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.